PSLE Zeph had green pencils and silver pencils for sale. He sold 140 green pencils. 30% of the pencils sold were silver.
- How many green pencils and silver pencils did Zeph sell altogether?
- He sold 50% of his pencils. 75% of the pencils left unsold were green. How many silver pencils did Zeph have at first?
|
Green |
Silver |
Total |
Total in percent |
Before |
14.5 u |
5.5 u |
20 u |
100% |
Change |
- 70% - 7 u |
- 30% - 3 u |
- 100% - 10 u |
- 50% |
After |
75% 7.5 u |
25% 2.5 u |
100% 10 u |
50%
|
30% =
30100 =
310 Total number of pencils sold = 10 u
Number of silver pencils sold = 3 u
Number of green pencils sold
= 10 u - 3 u
= 7 u
7 u = 140
1 u = 140 ÷ 7 = 20
Total number of pencils sold
= 10 u
= 10 x 20
= 200
(b)
Percent of the pencils left unsold = 100% - 50% = 50% 50% of the pencils that were sold = 10 u 50% of the pencils that were left unsold = 10 u Percent of the pencils left unsold that were green = 75%
Percent of the pencils left unsold that were silver = 100% - 75% = 25%
Number of the pencils left unsold that were silver
= 25% x 10 u
=
25100 x 10 u
= 2.5 u
Number of silver pencils that Zeph had at first
= 2.5 u + 3 u
= 5.5 u
= 5.5 x 20
= 110
Answer(s): (a) 200; (b) 110